Vinyl roof refers to a vinyl covering for an automobile's top.
1975 Opel Manta with factory fitted vinyl roof
1971 Humber Sceptre MK III with factory fitted vinyl roof
Lincoln Town-Car with vinyl roof
1976 Toyota Corona Mark II
The Landau began as a carriage design with a folding fabric top consisting of two sections supported by external elliptical springs. This landau roof design was adopted in early automobiles as a convertible top. The term, however, came to mean a simulated convertible. A landau bar is an ornamental feature located on a car's c-pillar derived from the roof form, primarily used on hearses.
Landau carriage sketch, showing the (real) bars folded and unfolded
1957 Imperial four-door hardtop "landau-type" roof design
Landau bar on the rear quarter panel of a Cadillac hearse